Finding the Fourth Proportional to 2,856.82, 4,284.46 and 1,102.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,856.82 : 4,284.46 = 1,102.05 : x
2. Step 2: Convert to fraction form
   2,856.82/4,284.46 = 1,102.05/x
3. Step 3: Cross multiply
   2,856.82x = 4,284.46 × 1,102.05
4. Step 4: Simplify right side
   2,856.82x = 4,721,683.63
5. Step 5: Solve for x
   x = 4,721,683.63/2,856.82
6. Step 6: Final answer
   x = 1,652.78